Solve the following problems applying Polya’s Four-Step Problem-Solving strategy. How many posts does it take to support a fence around a square field measuring 200 meters on a side if posts are placed every 20 meters?

Q: Consider a square of side L. By how much must the length of a side of this square be increased so…

A:

Q: A rectangular page is to contain 24 square inches of print. The margins at the top andbottom of the…

A:

Q: 1. A parking lot is 400 yards long and 300 yards wide. You would want to make a miniature version of…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve for a, b, and c. Show work. 15 15 4. in

A:

Q: box with no top is to be constructed from a piece of cardboard whose length measures 6 in. more than…

A: First considered length and width and use volume formula of rectangular box

Q: The new owner of an apartment wants to install a window in the shape of a rectangle surrounded by a…

A: The total amount of wood owner has is equal to the perimeter thus add the add the two sides of the…

Q: 2. Explain how to solve the following problems by reasoning about a strip diagram.

A: Given that fruit juice and bubbly water are mixed in a ratio of 3 to 5 to make punch. This implies…

Q: Help solve the problem below, and show evidence

A: To solve   x+6xx-1÷x2+12x+36x2-1

Q: A piece of wire 19 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Given, A piece of wire 19 m long is cut into two pieces. Part a: Let s be the length of the wire…

Q: Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow…

A: We can see this problem can be modeled with an arithmetic sequence:   49, 46.5, 44, 41.5, 39, 36.5,…

Q: If a cube has edges that are each three times as long as a second cube, then its volume will be 27…

A:

Q: The area of trapezoid with base 1 = 25 cm, base 2 = 15 cm , and height of 4.5 cm is ______ cm²

A: QUESTION- The area of trapezoid with base 1 = 25 cm, base 2 = 15 cm , and height of 4.5 cm is ______…

Q: A property owner wants to fence a garden plot adjacent to a road, as shown in the figure. The…

A:

Q: In the basic EOQ model, if D = 80 per month, Co = $13, and Cc = $11 per unit per month, what is the…

A: In Economic Order Quantity(EOQ), we have to find the total inventory cost: Demand, D=80 per month…

Q: Rafaela draws a pattern consisting of a number of similar equilateral triangles. The first triangle…

A: here the next length = 1.5*previous length  second triangle length =1.5*4 = 6 third triangle length…

Q: 1. A rectangular window has a length that is 18 inches more than its width. If its perimeter is 180…

A: Let width of the rectangular window be w (in inches).Since length is 18 inches more than width,so…

Q: 1.) A Norman window consists of a rectangle surmounted by a semicircle. If the the perimeter of a…

A:

Q: in addition to 5. You need to add 5 supports under the the 3.6 m one, so that they are all equally…

A: Height of support is given with the help of trigonometric ratio.

Q: A. Solve the following using Polya's problem solving strategy. 1. How many varieties of pizza…

A:

Q: A Norman window is constructed by adjoining a semicircle to the top of a rectangular window, as…

A: Perimeter of Norman window(P)=Perimeter of rectangle(P1)+Perimeter of…

Q: A project team of 2 to 5 people is being formed from a staff of 15, How many such teams are…

A:

Q: The new owner of an apartment wants to install a window in the shape of a rectangle surrounded by a…

A: Given:     Owner has total of 336 cm of wood frame.So the total parameter of the window…

Q: Number 4

A: Let three successive odd numbers are (2n+1), (2n+3) and (2n+5).In which smallest odd number is…

Q: If 1200 cm? of material is available to make a box with a square base and an open top, what is the…

A: according to our guidelines we can answer only first question and rest can be reposted.

Q: we want to guarantee that each of the three children gets at least 50 dollars. How many ways could…

A:

Q: A rectangular box has a square base of side 'x' cm and height h cm and has no top as shown in the…

A:

Q: The new owner of an apartment wants to install a window in the shape of a rectangle surrounded by a…

A: Given the perimeter of the window is 336 cm. According to the given structure, perimeter is:…

Q: Solve the problem using combination formula. 1. How many quadrilaterals can you make out of 10…

A:

Q: a plant is growing expotentially, inityially is 8cm tall and 4 days later it is 12 cm tall, how long…

A: Given, The initial height of the plant is 8cm 4 days later the plant height is 12cm How long it…

Q: Solve the following using GRESA format. 1. A square house floor with a dimension of 9 meters was…

A: Let's find.

Q: 1. The perimeter of a rectangular swimming pool is 86m and its area is 450m2. a. How would you…

A: 1. The perimeter of a rectangular swimming pool is 86m and its area is 450m2. a. How would you check…

Q: Suppose that the length of the edge of a cube is doubled. Which of the following is NOT a true…

A:

Q: Answer the following problems using Polya's 4 Steps. A man is 6 as old as his wife. Twenty years…

A:

Q: A tennis ball is dropped from a height of 8ft. If the ball rebounds 3 over 4 of its height on each…

A:

Q: Construct the following. 1. A square whose side equal to 2.3 cm. 2 A rectangle whose length is equal…

A:

Q: A cardboard box with the dimensions of 20*15*5 (lwh), is used by a compnay to package laptops. If…

A:

Q: Solve the following using Polya’s problem solving strategy Please include the solution! 1. How many…

A: Topic :- Permutation

Q: O Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow…

A: In order to solve this problem we need to frame this as arithmetic progression series and solve it…

Q: A box with no top is to be constructed from a piece of cardboard whose length measures 10in. more…

A:

Q: How many 1-cm squares does it take to construct a square that is 1 m on each side?

A: The length of the square on each side  Area of the square  But

Q: suppose that Irene drives 27miles north, 21 miles west, 64 miles east, and 3 miles west. How far is…

A: Make the diagram presentation of the Irene  drive .

Q: If the width of a rectangle is 2cm more than one-half of its length and its perimeter is 40 cm, what…

A: Let the length of the rectangle be x. And The width of the rectangle be y.

Q: In 1978, cars that got about 40 miles per gallon were readily available. If the average fuel economy…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: If the edge of a cube is doubled, which of the following is incorrect? The volume is increased 8…

A: topic - cubes

Q: . How many times larger is the rectangular prism than the cube?

A:

Q: Solve the following

A: Given,           2x-5y=2-4x+10y=1

Q: It is now 10:45 a.m., what time will it be in 143, 999, 999, 995 minutes from now? Use the Polya's 4…

A: Given: Current time is 10:45 a.m. To find: The time that will be after 143,999,999,995 minutes from…

Q: As an art student, Joseph has a model of a rectangular prism sculpture, which is shown below. He…

A: Dimensions of original prism:- L = 5 cm B = 2 cm H = 3 cm

Q: Find the dimensions of a rectangle (in m) with area 1,331 m² whose perimeter is as small as…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.